典型文献
Exact solutions of the Schr?dinger equation for a class of hyperbolic potential well
文献摘要：
We propose a new scheme to study the exact solutions of a class of hyperbolic potential well.We first apply different forms of function transformation and variable substitution to transform the Schr?dinger equation into a confluent Heun differential equation and then construct a Wronskian determinant by finding two linearly dependent solutions for the same eigenstate.And then in terms of the energy spectrum equation which is obtained from the Wronskian determinant,we are able to graphically decide the quantum number with respect to each eigenstate and the total number of bound states for a given potential well.Such a procedure allows us to calculate the eigenvalues for different quantum states via Maple and then substitute them into the wave function to obtain the expected analytical eigenfunction expressed by the confluent Heun function.The linearly dependent relation between two eigenfunctions is also studied.
文献关键词：
中图分类号：
作者姓名：
Xiao-Hua Wang;Chang-Yuan Chen;Yuan You;Fa-Lin Lu;Dong-Sheng Sun;Shi-Hai Dong
作者机构：
School of Physics and Electronic Engineering,Yancheng Teachers University,Yancheng 224007,China;Research Center for Quantum Physics,Huzhou University,Huzhou 313000,China;Laboratorio de Información Cuántica,CIDETEC,Instituto Politécnico Nacional,UPALM,C.P 07700,CDMX,Mexico
文献出处：
引用格式：
[1]Xiao-Hua Wang;Chang-Yuan Chen;Yuan You;Fa-Lin Lu;Dong-Sheng Sun;Shi-Hai Dong-.Exact solutions of the Schr?dinger equation for a class of hyperbolic potential well)[J].中国物理B（英文版）,2022(04):122-128
A类：
Heun
B类：
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AB值：
0.558384
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